Linked from

The 16 pages that link to Difference quotient, each with the reason it gives.

• DerivativeBroader topic: Its limit as the input change shrinks gives the derivative.

• Partial derivativeRelated: A partial derivative takes the limit of this ratio along one coordinate direction.

• Finite differenceRelated: Dividing a finite difference by the input step produces a derivative estimate.

• DifferentiabilityBroader topic: Its limit as the interval shrinks determines whether a derivative exists.

• Directional derivativeRelated: The directional derivative is obtained by restricting this ratio to a line through the point.

• Tangent lineBroader topic: Its limit as the interval shrinks produces the slope used for a tangent.

• Secant lineRelated: It computes the secant line’s slope from the two points.

• Differential calculusRelated: The derivative emerges as the difference quotient’s limit when the interval shrinks.

• Complex differentiabilityRelated: Complex differentiability is defined by taking its limit as the increment vanishes.

• Monotonic functionRelated: Its sign directly expresses whether ordered inputs produce ordered outputs.

• Complex derivativeNarrower topic: The complex derivative is the limit of this ratio as its complex increment vanishes.

• Secant methodRelated: It estimates the derivative from two sampled values in the secant update.

• Differentiable functionRelated: In one variable, its limit gives the derivative when that limit exists.

• Time derivativeBroader topic: The time derivative is the limiting value of this ratio as the time interval shrinks.

• Instantaneous velocityBroader topic: Its limit produces the derivative used to define instantaneous velocity.

• Stolz–Cesàro theoremRelated: The theorem's conclusion is the limit of successive difference quotients.